Self-organization and a dynamical transition in traffic-flow models.
TLDR
A simple model that describes traffic flow in two dimensions finds a sharp jamming transition that separates between the low-density dynamical phase in which all cars move at maximal speed and the high-density jammedphase in which they are all stopped.Abstract:
A simple model that describes traffic flow in two dimensions is studied. A sharp jamming transition is found that separates between the low-density dynamical phase in which all cars move at maximal speed and the high-density jammed phase in which they are all stopped. Self-organization effects in both phases are studied and discussed.read more
Citations
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Traffic and related self-driven many-particle systems
Dirk Helbing,Dirk Helbing +1 more
TL;DR: This article considers the empirical data and then reviews the main approaches to modeling pedestrian and vehicle traffic, including microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models.
Journal ArticleDOI
Simulation of pedestrian dynamics using a two dimensional cellular automaton
TL;DR: In this article, a two-dimensional cellular automaton model is proposed to simulate pedestrian tra c c. It is a vmax = 1 model with exclusion statistics and parallel dynamics, and long-range interactions between the pedestrians are mediated by a so-called "oor #eld which modi4es the transition rates to neighbouring cells.
Journal ArticleDOI
The physics of traffic jams
TL;DR: In this paper, a car-following model is proposed to investigate the bunching transition and bus delay in traffic flow and pedestrian flow, and detailed results obtained mainly from the microscopic car following models are presented.
Evacuation Dynamics: Empirical Results, Modeling and Applications
Andreas Schadschneider,Wolfram Klingsch,Hubert Kluepfel,Tobias Kretz,Christian Rogsch,Armin Seyfried +5 more
TL;DR: 1 Institut fur Theoretische Physik, Universitat zu Koln, Germany as@thp.uni-koeln.de 2 Interdisziplinares Zentrum fur komplexe Systeme, Bonn, Germany
Journal ArticleDOI
Cellular automata models of road traffic
Sven Maerivoet,Bart De Moor +1 more
TL;DR: An elaborate and understandable review of traffic cellular automata (TCA) models, which are a class of computationally efficient microscopic traffic flow models, by means of time–space and phase-space diagrams, and histograms showing the distributions of vehicles’ speeds, space, and time gaps.
References
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Book
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Dietrich Stauffer,Amnon Aharony +1 more
TL;DR: In this paper, a scaling solution for the Bethe lattice is proposed for cluster numbers and a scaling assumption for cluster number scaling assumptions for cluster radius and fractal dimension is proposed.
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Dietrich Stauffer,Amnon Aharony +1 more
TL;DR: In this article, a scaling solution for the Bethe lattice is proposed for cluster numbers and a scaling assumption for cluster number scaling assumptions for cluster radius and fractal dimension is proposed.
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TL;DR: In this article, an integrated approach (i.e., lecture, computer simulation and experimental measurements) to percolation theory is discussed, which is simple enough to make the introduction of such topics to university entrance and even high school students a realistic proposition.